Fast neutron removal cross section of the alloys was calculated by partial density method.
Effect size estimates were calculated by partial eta-squared (ηp2; 0.01 = small effect; 0.06 = medium effect; 0.14 = large effect).
Correlation coefficients between uric acid and metabolic features were calculated by partial correlation analysis on ranks (Spearman correlation).
Note: All the correlation coefficients were calculated by partial correlation controlling for the status of sex and age.
Direct selection was calculated by partial regression coefficients (b) from multiple regression of all traits on relative fitness (PROC REG); to reduce collinearity variance inflation factors were required to be less than 3.7.
T ij a can efficiently be calculated by treating the partial sums of a parity check as the states in a Markov chain [8], therefore T ij a can be written as follows T ij a [ n ] = ∑ { ζ L, ζ R : ζ L → ξ j = a ζ R } P F i ( j − 1 ) T ⇒ ζ L · P B i ( j + 1 ) T ⇒ ζ R (16).
The derivatives of the g function (Equation 24) with respect to θ x and the unit-cell parameters can be calculated by substituting the last partial derivatives of R with the appropriate ones.
Each of the toxicity descriptions was described in association with partial response so that the respective utility decrements for toxicities could be calculated by subtracting the utility for partial response from the utility of the toxicity state.
The reflectance, R ρ, t), that is due to the fluorophore can be calculated by using Fick's law or the partial current boundary condition [ 21]: (16) R (ρ, t ) = D ∂ ∂ z Φ (ρ, z = 0, t ), (17) R (ρ, t ) = 1 2 A Φ (ρ, z = 0, t ), with D being the diffusion coefficient, A the coefficient for the Fresnel Reflections [ 21], and Φ the fluorescent fluence calculated with the proposed subroutines.
from (33), a constraint matrix C h can be calculated by boldsymbol{C}_{h} = frac{partial boldsymbol{Phi}_{h}}{partial boldsymbol{x}_{h}}.
